Deep Shape Regression for Planar Curves with Multimodal Covariates

The shape of a planar curve is the geometric information that remains once translation, rotation, scale and reparametrisation are removed and is of interest in many health applications, e.g. in neuroimaging. We propose a deep shape regression model for open planar curves that admits multimodal and high-dimensional covariates. Representing curves as complex-valued functions, we show that the conditional full Procrustes mean is the leading eigenfunction of the conditional covariance. To estimate t

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ethics.ai (21 July 2026), “Deep Shape Regression for Planar Curves with Multimodal Covariates,” evidence record 12996, https://ethics.ai/record/12996 (originally published by arXiv cs.LG).

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